Bakery Arrays Lesson Plan Grade 3 Mathematics • Operations & Algebraic Thinking Pacing: 60 Minutes
Bakery Arrays: Mastering Multiplication
Focus: 3.OA.A.1 • 3.OA.A.3
Learning Targets ("I Can")
• Model equal groups as rows and columns on a baking tray grid.
• Write multiplication equations (\(\text{rows} \times \text{columns} = \text{total}\)) matching cupcake arrays.
• Compose word problems describing real bakery array situations.
Key Vocabulary & Materials
Vocabulary:
Array: items in equal rows/colsRow: side to side (\(\leftrightarrow\))Column: up & down (\(\updownarrow\))Factor × Factor = Product
Materials:
Grid Tray Activity Sheets
Counters / Cupcake counters
Colored pencils or markers
Exit Tickets (printed)
Phase 1
Launch: The Disorganized Bakery (10 Minutes)
10 min
The Hook: Display a messy jumble of 12 cupcakes scattered haphazardly across a screen or board, alongside a neat baking pan showing 3 rows of 4 cupcakes.
"Baker Maya has a rush catering order! She needs to check whether she has 12 cupcakes ready. Which tray lets you know the count immediately without touching and counting one-by-one?"
Prompting Questions:
"How can grouping into straight lines save time?"
"What pattern do your eyes see in the neat pan?"
Core Takeaway:
Equal rows and equal columns allow us to use repeated addition and multiplication instead of counting by ones.
Phase 2
Direct Instruction: The Pastry Chef's Formula (15 Minutes)
15 min
Explicit Modeling on Anchor Chart / Document Camera:
Step 1: Count Rows
Horizontal lines (\(\leftrightarrow\))
3 Rows
Step 2: Count Columns
Items in each row (\(\updownarrow\))
4 Columns
Step 3: Connect Equations
Addition & Multiplication
3 × 4 = 12
Guided Practice Routine (Turn & Build):
Distribute counters. Ask pairs to construct a tray with 2 rows of 6 cupcakes .
Have students sweep their finger horizontally across each row counting: "Row 1 has 6, Row 2 has 6 (\(6 + 6 = 12\))."
Introduce the mathematical sentence structure: "2 groups of 6 equals 12, written as \(2 \times 6 = 12\)."
Demonstrate tray rotation (90 degrees): "What happens if we turn the tray? 6 rows of 2 (\(6 \times 2 = 12\)). The product stays identical!"
Bakery Arrays: Mastering Multiplication • Teacher Instructional Guide Page 1 of 2
Instructional Phases, Scaffolding & Debrief
Classroom Implementation
Phase 3
Student Studio: Designing Bakery Trays (20 Minutes)
20 min
Students work individually or in partner duos using the Cupcake Trays Activity Sheet :
Part 1: Order Fulfillment
Students fill predetermined tray grids with cupcake sprinkles/drawings, recording rows, columns, and expressions.
Part 2: Custom Catering
Students choose total cupcakes (e.g., 18 or 24) and discover multiple valid rectangular array configurations.
Part 3: Word Problems
Students craft real-world bakery word stories and trade with peers to sketch and solve.
Differentiation & Scaffolding Pathways
Support (Tier 2 / Intervention)
Use physical two-color counters directly inside grid squares before drawing.
Color-code horizontal rows in blue and vertical columns in orange.
Limit dimensions to factors within \(5 \times 5\).
On-Level (Tier 1)
Complete trays through \(6 \times 4\) and \(4 \times 7\).
Connect repeated addition sentences clearly to multiplication expressions.
Explain why turning the tray maintains the product (Commutative Property).
Extension (Challenge)
Find all possible array factor combinations for 24 cupcakes (\(1\times24, 2\times12, 3\times8, 4\times6\)).
Write a two-step bakery scenario (e.g., 2 full trays of \(3 \times 5\)).
Phase 4
Synthesis & Math Debrief (10 Minutes)
10 min
Essential Discussion Questions:
"If Baker Maya bakes 4 rows of 5 cupcakes, how many total treats does she have? What is the equation?" "Why does rotating a 3 × 5 pan to 5 × 3 give the same total number of treats?" "How can an array help someone who forgot their multiplication facts?"
Teacher Formative Assessment Look-Fors:
Student counts rows first, then items per row.
Does not confuse row count with total count.
Equations include proper operational symbols (\(\times\) and \(=\)).
Common Misconceptions & Teacher Fixes
Misconception Why It Happens Instructional Remedy Mixing Rows & Columns Students confuse horizontal lines with vertical pillars. Use arm motions: "Row your boat across the water, columns hold up the ceiling." Adding Dimensions Instead of Multiplying Writes \(3 + 4 = 7\) instead of calculating total items. Highlight repeated addition: \(4 + 4 + 4 = 12\). Contrast sum of sides with area inside. Unequal Rows in Grid Drawing irregular quantities across rows. Reinforce that arrays MUST have exact rectangles with identical items in every row.
Bakery Arrays: Mastering Multiplication • Teacher Instructional Guide Page 2 of 2
Cupcake Trays Activity Sheet Sweet Array Bakery: Tray Studio
Model Equal Rows & Columns to Master Multiplication
Baker:
Date:
Chef's Instructions: Sketch a cupcake • in each tray cell to model the bakery order, then complete the math sentences.
\(\text{Rows} \times \text{Columns} = \text{Product}\)
Order #1
Strawberry Swirl Cupcakes: 3 rows of 4
3 rows • 4 columns
Baking Tray (3 × 4)
Number of Rows (\(\leftrightarrow\)):
Items per Row (\(\updownarrow\)):
Repeated Addition Sentence:
Multiplication Equation:
Order #2
Blueberry Bliss Treats: 4 rows of 5
4 rows • 5 columns
Baking Tray (4 × 5)
Number of Rows (\(\leftrightarrow\)):
Items per Row (\(\updownarrow\)):
Repeated Addition Sentence:
Multiplication Equation:
Order #3
Baker's Choice Custom Tray: Model 18 or 24 Cupcakes
Outline your own array
Master Grid (6 × 6)
Chosen Total (18 or 24):
My Rows & Columns:
Repeated Addition Sentence:
Multiplication Equation:
Sweet Array Bakery • Cupcake Tray Studio Page 1 of 2
Bakery Story Orders & Problem Studio
Solve with array diagrams and write your own bakery word problem.
Part II: Story Math
Order Story A
Baker Leo arranges chocolate swirl cupcakes for a school fair. He bakes 5 rows with 3 cupcakes in each row. How many cupcakes did Leo bake in all?
Sketch the Cupcake Array:
Rows: Columns: Repeated Addition:
Multiplication Equation:
Order Story B
Chef Rosa prepares a birthday order. She places cupcakes into 2 rows with 7 cupcakes in each row. How many cupcakes are ready for the party?
Sketch the Cupcake Array:
Rows: Columns: Repeated Addition:
Multiplication Equation:
Create Your Own
Be the Head Baker! Write & Solve Your Own Bakery Problem
Include rows, columns & treats
Write your bakery word story here:
Your Array Model:
Your Matching Equation:
Baker's Mind Buster (Commutative Property)
If you rotate a baking tray from 3 rows of 4 cupcakes to 4 rows of 3 cupcakes , does the total number of cupcakes change? Explain why:
Sweet Arrays Exit Ticket Sweet Arrays Exit Ticket
Check for Understanding • Multiplication Arrays
Baker:
Date:
1. Look at this bakery tray:
Rows (\(\leftrightarrow\)):
Cupcakes in each row:
Multiplication:
2. Draw an array for 4 rows of 3 cupcakes:
Repeated Addition:
Multiplication Equation:
3. Baker Diego has 2 boxes. Each box holds 6 cupcakes in an array. Which equation shows the total?
A) \(2 + 6 = 8\)
B) \(6 - 2 = 4\)
C) \(2 \times 6 = 12\)
D) \(6 \div 2 = 3\)
Chef Confidence:
1: Need Help 2: Getting It 3: Master Baker!
Cut along line to separate tickets
Sweet Arrays Exit Ticket
Check for Understanding • Multiplication Arrays
Baker:
Date:
1. Look at this bakery tray:
Rows (\(\leftrightarrow\)):
Cupcakes in each row:
Multiplication:
2. Draw an array for 4 rows of 3 cupcakes:
Repeated Addition:
Multiplication Equation:
3. Baker Diego has 2 boxes. Each box holds 6 cupcakes in an array. Which equation shows the total?
A) \(2 + 6 = 8\)
B) \(6 - 2 = 4\)
C) \(2 \times 6 = 12\)
D) \(6 \div 2 = 3\)
Chef Confidence:
1: Need Help 2: Getting It 3: Master Baker!
